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User:Jaume Oliver Lafont/A000297

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A000297(n)=sum(k=0,n,(k+2)*(2+n-k)) --Jaume Oliver Lafont 10:16, 3 January 2010 (UTC)

A000297(n) is the self-convolution of (n+2)*(n>=0) (A-number?)

Other decompositions of the g.f. are:

The sequences generated by


a0: 4,4,5,6,7,8,9,10,11,12,...

a1: 4,0,1,1,1,1,1,1,1,1,...

and a1 is the first difference of a0, which is related to A097950).

A097950 A001477 A000012 A034856 A054977 A000096 A000217

--Jaume Oliver Lafont 14:56, 3 January 2010 (UTC)

A000297(n) is square for n=0,2,13,24,27,242,335(...?)

--Jaume Oliver Lafont 20:41, 12 June 2010 (UTC)